A Survey of Mathematics with Applications

A Survey of Mathematics with Applications, 11th edition

  • Allen R. Angel, 
  • Christine D. Abbott, 
  • Dennis Runde

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A Survey of Mathematics with Applications shows how mathematics affects the world around you and its importance in your life and future career.

Published by Pearson (January 1st 2021) - Copyright © 2021

ISBN-13: 9780137409099

Subject: Service Math

Category: Liberal Arts Math

Table of contents

1. Critical Thinking Skills 
1.1 Inductive and Deductive Reasoning 
1.2 Estimation Techniques
1.3 Problem-Solving Procedures 

2. Sets
2.1 Set Concepts 
2.2 Subsets 
2.3 Venn Diagrams and Set Operations
2.4 Venn Diagrams with Three Sets and Verification of Equality of Sets 
2.5 Applications of Sets
2.6 Infinite Sets 

3. Logic 
3.1 Statements and Logical Connectives
3.2 Truth Tables for Negation, Conjunction, and Disjunction 
3.3 Truth Tables for the Conditional and Biconditional 
3.4 Equivalent Statements 
3.5 Symbolic Arguments
3.6 Euler Diagrams and Syllogistic Arguments
3.7 Switching Circuits 

4. Systems of Numeration 
4.1 Additive, Multiplicative, and Ciphered Systems of Numeration 
4.2 Place-Value or Positional-Value Numeration Systems 
4.3 Other Bases 
4.4 Perform Computations in Other Bases 
4.5 Early Computational Methods 

5. Number Theory and the Real Number System
5.1 Number Theory 
5.2 The Integers 
5.3 The Rational Numbers 
5.4 The Irrational Numbers
5.5 Real Numbers and Their Properties
5.6 Rules of Exponents and Scientific Notation 
5.7 Arithmetic and Geometric Sequences 
5.8 Fibonacci Sequence 

6. Algebra, Graphs, and Functions
6.1 Order of Operations and Solving Linear Equations 
6.2 Formulas
6.3 Applications of Algebra
6.4 Variation
6.5 Solving Linear Inequalities 
6.6 Graphing Linear Equations
6.7 Solving Systems of Linear Equations 
6.8 Linear Inequalities in Two Variables and Systems of Linear Inequalities 
6.9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula 
6.10 Functions and Their Graphs 

7. The Metric System 
7.1 Basic Terms and Conversions Within the Metric System 
7.2 Length, Area, and Volume
7.3 Mass and Temperature
7.4 Dimensional Analysis and Conversions to and from the Metric System 

8. Geometry 
8.1 Points, Lines, Planes, and Angles
8.2 Polygons 
8.3 Perimeter and Area
8.4 Volume and Surface Area 
8.5 Transformational Geometry, Symmetry, and Tessellations
8.6 Topology 
8.7 Non-Euclidean Geometry and Fractal Geometry 

9. Mathematical Systems 
9.1 Groups 
9.2 Finite Mathematical Systems 
9.3 Modular Arithmetic 
9.4 Matrices 

10. Consumer Mathematics 
10.1 Percent 
10.2 Personal Loans and Simple Interest 
10.3 Compound Interest 
10.4 Installment Buying 
10.5 Buying a House with a Mortgage 
10.6 Ordinary Annuities, Sinking Funds, and Retirement Investments 

11. Probability 
11.1 Empirical and Theoretical Probabilities 
11.2 Odds 
11.3 Expected Value (Expectation) 
11.4 Tree Diagrams 678 
11.5 OR and AND Problems 
11.6 Conditional Probability 
11.7 The Fundamental Counting Principle and Permutations 
11.8 Combinations 
11.9 Solving Probability Problems by Using Combinations 
11.10 Binomial Probability Formula 

12. Statistics 
12.1 Sampling Techniques and Misuses of Statistics 
12.2 Frequency Distributions and Statistical Graphs 
12.3 Measures of Central Tendency and Position 
12.4 Measures of Dispersion 
12.5 The Normal Curve 
12.6 Linear Correlation and Regression 

13. Graph Theory 
13.1 Graphs, Paths, and Circuits 
13.2 Euler Paths and Euler Circuits 
13.3 Hamilton Paths and Hamilton Circuits 
13.4 Trees 864 14 Voting and Apportionment 

14. Voting and Apportionment
14.1 Voting Methods 
14.2 Flaws of the Voting Methods 
14.3 Apportionment Methods 
14.4 Flaws of the Apportionment Methods 

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